A hotel has two types of rooms: basic and deluxe. On a certain night, the hotel rented 75% of its rooms, including 2/3

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A hotel has two types of rooms: basic and deluxe. On a certain night, the hotel rented 75% of its rooms, including 2/3 of its basic rooms. What percentage of the rooms that were not rented on that night were basic?

(1) 60% of all the rooms in the hotel are basic

(2) On that night, 12.5% of the deluxe rooms were not rented


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BTGmoderatorDC wrote:
Sun Mar 27, 2022 6:56 pm
A hotel has two types of rooms: basic and deluxe. On a certain night, the hotel rented 75% of its rooms, including 2/3 of its basic rooms. What percentage of the rooms that were not rented on that night were basic?

(1) 60% of all the rooms in the hotel are basic

(2) On that night, 12.5% of the deluxe rooms were not rented


OA D

Source: Veritas Prep
Sets Question
\(B =\) Basic, \(D =\) Deluxe

Consider, Total Rooms \(= 100 = B + D\)

Rented Out \(= 75\)

Statement 1

\(60\%\) rooms are basic

\(\Rightarrow \; 40\) rooms rented out, and \(20\) not rented out. Sufficient \(\Large{\color{green}\checkmark}\)

Statement 2

\(12.5\%\) of deluxe rooms not rented out.

\(\Rightarrow \; \dfrac{1}{8}\) not rented out, and \(\dfrac{7}{8}\) rented out

\(\dfrac{2}{3}B + \dfrac{7}{8} D = 75\)

From the Question, \(B + D = 100\)

We can solve for \(B\). Sufficient \(\Large{\color{green}\checkmark}\)

Therefore, D